(Solved): 1. A fluid mechanics engineer theoretically derived the following equation for a certain fluid flo ...

1. A fluid mechanics engineer theoretically derived the following equation for a certain fluid flow system: \[ p_{2}-p_{1}=C \frac{V x}{D g} \] where \( p_{1} \) and \( p_{2} \) are inlet and outlet pressure values of the system, \( C \) is a dimensionless coefficient, \( V \) is a velocity, \( x \) is the distance from inlet to where flow separation is observed, \( D \) is a diameter, and \( g \) is the acceleration of gravity. 1.a Is this equation dimensionally consistent? (1 pt) 1.b If this equation is not dimensionally consistent, how will you make this equation dimensionally consistent? (1 pt)